Investigation of the $D^{0} \rightarrow K_S^{0} π^{0} η,\ K_S^{0} π^{0} π^0$ decays
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866915868480372736 |
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| author | Liang, Wei Xiao, Chu-Wen Gan, Guo-Mei Zhou, Shi-Qi |
| author_facet | Liang, Wei Xiao, Chu-Wen Gan, Guo-Mei Zhou, Shi-Qi |
| contents | Inspired by the invariant mass distributions for the decays $D^{0} \rightarrow K_S^{0} π^{0} η$ and $D^{0} \rightarrow K_S^{0} π^{0} π^{0}$ reported by the BESIII Collaboration, we investigate these processes with an unified final state interaction formalism by incorporating both the $S$-wave pseudoscalar meson-pseudoscalar meson interactions within a chiral unitary approach and the $P$-wave contribution from the intermediate resonance $\bar{K}^*(892)$. By performing a combined fit to the invariant mass spectra and taking into account the coherence between the $S$- and $P$-waves, our results are in agreement with the experimental data. For the decay $D^{0} \rightarrow K_S^{0} π^{0} η$, the structure near 1.0 GeV in the $π^0 η$ invariant mass distribution corresponds to the signal of the $a_{0}(980)$, which is dynamically generated from the $S$-wave interactions. In the case of $D^{0} \rightarrow K_S^{0} π^{0} π^{0}$, the near-threshold enhancement in the $π^0π^0$ mass distribution arises from the combined contributions of the $f_0(500)$ and the intermediate $\bar{K}^*(892)$, while the cusp-like structure around 1 GeV$^2$ is associated with the $f_0(980)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_16082 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Investigation of the $D^{0} \rightarrow K_S^{0} π^{0} η,\ K_S^{0} π^{0} π^0$ decays Liang, Wei Xiao, Chu-Wen Gan, Guo-Mei Zhou, Shi-Qi High Energy Physics - Phenomenology Inspired by the invariant mass distributions for the decays $D^{0} \rightarrow K_S^{0} π^{0} η$ and $D^{0} \rightarrow K_S^{0} π^{0} π^{0}$ reported by the BESIII Collaboration, we investigate these processes with an unified final state interaction formalism by incorporating both the $S$-wave pseudoscalar meson-pseudoscalar meson interactions within a chiral unitary approach and the $P$-wave contribution from the intermediate resonance $\bar{K}^*(892)$. By performing a combined fit to the invariant mass spectra and taking into account the coherence between the $S$- and $P$-waves, our results are in agreement with the experimental data. For the decay $D^{0} \rightarrow K_S^{0} π^{0} η$, the structure near 1.0 GeV in the $π^0 η$ invariant mass distribution corresponds to the signal of the $a_{0}(980)$, which is dynamically generated from the $S$-wave interactions. In the case of $D^{0} \rightarrow K_S^{0} π^{0} π^{0}$, the near-threshold enhancement in the $π^0π^0$ mass distribution arises from the combined contributions of the $f_0(500)$ and the intermediate $\bar{K}^*(892)$, while the cusp-like structure around 1 GeV$^2$ is associated with the $f_0(980)$. |
| title | Investigation of the $D^{0} \rightarrow K_S^{0} π^{0} η,\ K_S^{0} π^{0} π^0$ decays |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2603.16082 |